Problem Solving 1

Two friends, Anna and Bob, are searching for a treasure. They each have a smartphone app that shows them the direction to the treasure they are looking for.

The two boxes (marked with an X) on the map show where the treasure is. Anna is searching for box 1 (X1) and Bob is looking for box 2 (X2).

Where are the two friends standing?

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Girls and boys had a competition. In total nine children took part. The nine participants had the following scores:

1, 2, 2, 3, 4, 5, 5, 6, 7

• No boy scored more than any girl. One boy had a tie with a girl. There were also two other boys that had a tie with each other.

How many girls took part?

• 2

• 3

• 5

• 6

• 7

Lila and her friends are playing a guessing game. To start the game, Lila puts a marble in bag A, a gem in bag B, and a piece of paper in bag C.

Then, while her friends' eyes are closed, Lila first switches the items in bags A and B. Then switches the items in bags A and C. Lastly, she switches the items in bags B and C.

Where are Lila's items now?

• Bag 3

• Marble

• Bag 2

• Gem

• Bag 1

• Paper

Emily has broken her favourite bracelet. The broken bracelet is shown in the image.

Which of the following four bracelets shows what the bracelet looked like when it was whole?

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Three runners are having a cross-country race. Ollie will always overtake one other runner when going uphill. Tina will always overtake one other runner when going downhill. Tony will always overtake one other runner when running across rocks.

They are near the end and Tina is winning, followed by Ollie and then Tony. The image shows what is left in the race.

What order will they finish?

• Ollie, Tony, Tina

• Tina, Tony, Ollie

• Ollie, Tina, Tony

• Tony, Ollie, Tina

Alice's prom dress must have short sleeves, more than 3 buttons and

• stars on its sleeves.

Alice looks in the four shop windows shown below. Which contains Alice's prom dress?

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Peter is very indecisive. To help with this he uses a normal 6-sided dice to help decide what to eat for dinner.

His rules are: If the second roll is greater than the first then he will eat pizza. If it is not then he checks to see if the third roll is less than the first roll. If it is then he eats pasta, if not he eats a pie.

Which of these combinations of dice rolls will result in Peter eating a pie?

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Tina started with one circle and one square. Then she created a heart shape from these two shapes.

Tina only used these kinds of actions on the shapes:

• Rotate: Rotate the shape by any amount in either direction.

• Move: Move the shape anywhere.

• Duplicate: Create a copy of the shape in the same location.

Which of the following sequence of operations could Tina have used?

• Duplicate circle. Rotate square. Move circle. Move circle.

• Duplicate square. Rotate square. Move square. Move circle.

• Duplicate circle. Rotate circle. Move circle. Move Square.

• Move circle. Move circle. Duplicate circle. Move square.

Burgers are made using the ingredients shown and using the following rules:

1. The sauce should always be right above the meat.

Meat and cheese should always be below pickles, lettuce and onions.

Onions should not be in contact with the bun.

Which of these is a correctly made burger?

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You have reached the final round of a game show. There are three boxes in front of you - one filled with only gold tokens, one filled with only silver tokens and one filled with a mix of silver and gold.

The host explains that if you can pick the box containing only gold coins you leave with £1,00,000. Pick the wrong box though and you leave with nothing!

All boxes have labels on them indicating what is in them, but the host explains that ALL labels have been mixed up! To help you he offers to show you ONE token from a box of your choice.

Which box will you ask the host to pick a token from to ENSURE you win the money?

• The box labelled GOLD

• The box labelled SILVER

• The box labelled MIX

• None of the boxes as it would not help.